How to find out when an equation has no solution

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SAT Math › How to find out when an equation has no solution

Questions 1 - 8
1

Nosol1

There is no solution

3

–3

1

–1/2

Explanation

Nosol2

2

Solve:

No Solution

Infinitely Many Solutions

Explanation

First, distribute the to the terms inside the parentheses.

Add 6x to both sides.

This is false for any value of . Thus, there is no solution.

3

Solve .

No solutions

Explanation

By definition, the absolute value of an expression can never be less than 0. Therefore, there are no solutions to the above expression.

4

Find the solution to the following equation if x = 3:

y = (4x2 - 2)/(9 - x2)

0

6

3

no possible solution

Explanation

Substituting 3 in for x, you will get 0 in the denominator of the fraction. It is not possible to have 0 be the denominator for a fraction so there is no possible solution to this equation.

5

None of the other answers

Explanation

A fraction is considered undefined when the denominator equals 0. Set the denominator equal to zero and solve for the variable.

6

Undefined_denom3

I. x = 0

II. x = –1

III. x = 1

I only

II only

III only

II and III only

I, II, and III

Explanation

Undefined_denom2

7

, Screen shot 2016 02 18 at 9.31.39 am

In the above graphic, approximately determine the x values where the graph is neither increasing or decreasing.

Explanation

We need to find where the graph's slope is approximately zero. There is a straight line between the x values of , and . The other x values have a slope. So our final answer is .

8

Solve:

Explanation

First, distribute, making sure to watch for negatives.

Combine like terms.

Subtract 7x from both sides.

Add 18 on both sides and be careful adding integers.

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